{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## F1 Score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def f1_score(precision, recall):\n",
    "    try:\n",
    "        return 2 * precision * recall / (precision + recall)\n",
    "    except:\n",
    "        return 0.0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "0.5"
     },
     "metadata": {},
     "execution_count": 22
    }
   ],
   "source": [
    "precision = 0.5\n",
    "recall = 0.5\n",
    "f1_score(precision, recall)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "0.18000000000000002"
     },
     "metadata": {},
     "execution_count": 23
    }
   ],
   "source": [
    "precision = 0.1\n",
    "recall = 0.9\n",
    "f1_score(precision, recall)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "0.0"
     },
     "metadata": {},
     "execution_count": 24
    }
   ],
   "source": [
    "precision = 0.0\n",
    "recall = 1.0\n",
    "f1_score(precision, recall)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import cm\n",
    "from matplotlib.ticker import LinearLocator, FormatStrFormatter\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.gca(projection='3d')\n",
    "\n",
    "# Make data.\n",
    "x = np.linspace(0, 1, 100)\n",
    "y = np.linspace(0, 1, 100)\n",
    "x, y = np.meshgrid(x, y)\n",
    "z = f1_score(x, y)\n",
    "\n",
    "# Plot the surface.\n",
    "surf = ax.plot_surface(x, y, z, cmap=cm.coolwarm,\n",
    "                       linewidth=0, antialiased=False)\n",
    "\n",
    "# Customize the z axis.\n",
    "ax.set_zlim(0, 1.01)\n",
    "ax.zaxis.set_major_locator(LinearLocator(10))\n",
    "ax.zaxis.set_major_formatter(FormatStrFormatter('%.02f'))\n",
    "\n",
    "# Add a color bar which maps values to colors.\n",
    "fig.colorbar(surf, shrink=0.5, aspect=5)\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn import datasets\n",
    "\n",
    "digits = datasets.load_digits()\n",
    "X = digits.data\n",
    "y = digits.target.copy()\n",
    "\n",
    "y[digits.target==9] = 1\n",
    "y[digits.target!=9] = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=666)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "0.9755555555555555"
     },
     "metadata": {},
     "execution_count": 8
    }
   ],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "\n",
    "log_reg = LogisticRegression()\n",
    "log_reg.fit(X_train, y_train)\n",
    "log_reg.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "y_predict = log_reg.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "array([[403,   2],\n       [  9,  36]], dtype=int64)"
     },
     "metadata": {},
     "execution_count": 10
    }
   ],
   "source": [
    "from sklearn.metrics import confusion_matrix\n",
    "\n",
    "confusion_matrix(y_test, y_predict)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "0.9473684210526315"
     },
     "metadata": {},
     "execution_count": 11
    }
   ],
   "source": [
    "from sklearn.metrics import precision_score\n",
    "\n",
    "precision_score(y_test, y_predict)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "0.8"
     },
     "metadata": {},
     "execution_count": 12
    }
   ],
   "source": [
    "from sklearn.metrics import recall_score\n",
    "\n",
    "recall_score(y_test, y_predict)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "0.8674698795180723"
     },
     "metadata": {},
     "execution_count": 13
    }
   ],
   "source": [
    "# sklearn中直接传入测试数据和预测数据即可\n",
    "# 被召回率拉低了\n",
    "# 这个比起score能更好衡量模型\n",
    "from sklearn.metrics import f1_score\n",
    "\n",
    "f1_score(y_test, y_predict)"
   ]
  }
 ],
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